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100021300133 is a prime number
BaseRepresentation
bin101110100100110111…
…0111110101110100101
3100120011122201111112112
41131021232332232211
53114320423101013
6113541003330405
710140423011006
oct1351156765645
9316148644475
10100021300133
1139467464217
1217474b20a05
139580059881
144babc071ad
152906045ba8
hex1749bbeba5

100021300133 has 2 divisors, whose sum is σ = 100021300134. Its totient is φ = 100021300132.

The previous prime is 100021300129. The next prime is 100021300139. The reversal of 100021300133 is 331003120001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86717292484 + 13304007649 = 294478^2 + 115343^2 .

It is an emirp because it is prime and its reverse (331003120001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100021300133 - 22 = 100021300129 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100021300139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50010650066 + 50010650067.

It is an arithmetic number, because the mean of its divisors is an integer number (50010650067).

Almost surely, 2100021300133 is an apocalyptic number.

It is an amenable number.

100021300133 is a deficient number, since it is larger than the sum of its proper divisors (1).

100021300133 is an equidigital number, since it uses as much as digits as its factorization.

100021300133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 100021300133 its reverse (331003120001), we get a palindrome (431024420134).

The spelling of 100021300133 in words is "one hundred billion, twenty-one million, three hundred thousand, one hundred thirty-three".